Systemic Bio- and Neurophysics
Abstract
This paper introduces a universal topological constant, the Gemini Constant (ϕG≈0.5714), which defines the deterministic tipping point in hexagonal (k=7) biological and technical clusters. By applying Change-Point Analysis to diverse datasets—from neural columns to avian swarms—we demonstrate that phase transitions are not stochastic but governed by geometric constraints. We provide the mathematical derivation (Gemini-Logit Filter) and R-code for verification.
Fields of Study & Subjects
Complex Systems and Dynamics
Advanced Mathematical Theories and Applications
Ecosystem dynamics and resilience
Publication details
- Journal / source
- OSF Preprints (OSF Preprints)
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Preprint